311 research outputs found
Theory of quantum Hall effect and high Landau levels
The angular momentum model which couples the spin and charge is discussed as
a possible theory of the quantum Hall effect. The high Landau level filling
fractions 5/2, 7/3 and 8/3 are understood by this model. It is found that 7/3
and 8/3 are the particle-hole conjugates and 5/2 arises due to a limiting level
at 1/2 with Landau level number n=5 which makes the fraction as 5/2.Comment: 7 page
Quantum Hall Circle
We consider spin-polarized electrons in a single Landau level on a cylinder
as the circumference of the cylinder goes to infinity. This gives a model of
interacting electrons on a circle where the momenta of the particles are
restricted and there is no kinetic energy. Quantum Hall states are exact ground
states for appropriate short range interactions, and there is a gap to
excitations. These states develop adiabatically from this one-dimensional
quantum Hall circle to the bulk quantum Hall states and further on into the
Tao-Thouless states as the circumference goes to zero. For low filling
fractions a gapless state is formed which we suggest is connected to the Wigner
crystal expected in the bulk.Comment: 12 pages, publishe
Duality, generalized Chern-Simons terms and gauge transformations in a high-dimensional curved spacetime
With two typical parent actions we have two kinds of dual worlds: i) one of
which contains an electric as well as magnetic current, and ii) the other
contains (generalized) Chern-Simons terms. All these fields are defined on a
curved spacetime of arbitrary (odd) dimensions. A new form of gauge
transformations is introduced and plays an essential role in defining the
interaction with a magnetic monopole or in defining the generalized
Chern-Simons terms.Comment: 10pages, Late
Anyons on Higher Genus Surfaces - a Constructive Approach
We reconsider the problem of anyons on higher genus surfaces by embedding
them in three dimensional space. From a concrete realization based on three
dimensional flux tubes bound to charges moving on the surface, we explicitly
derive all the representations of the spinning braid group. The component
structure of the wave functions arises from winding the flux tubes around the
handles. We also argue that the anyons in our construction must fulfil the
generalized spin-statistics relation.Comment: 8 pages, LaTex, 2 figures available on request ([email protected]),
USITP-93-1
The Nonlinear Multiplet Revisited
Using a reformulation of the nonlinear multiplet as a gauge multiplet, we
discuss its dynamics. We show that the nonlinear ``duality'' that appears to
relate the model to a conventional -model introduces a new sector into
the theory.Comment: 11 pages, ITP-SB-94-23, USITP-94-1
Quantum Hall Skyrmions with Higher Topological Charge
We have investigated quantum Hall skyrmions at filling factor \nu=1 carrying
more than one unit of topological, and hence electric, charge. Using a
combination of analytic and numerical methods we find the counterintuitive
result that when the Zeeman energy is tuned to values much smaller than the
interaction energy (g \mu_B B/(e^2/\epsilon\ell) < 9*10^{-5}),the creation
energy of a charge two skyrmion becomes less than twice the creation energy of
a charge one skyrmion, i.e. skyrmions bind in pairs. The doubly charged
skyrmions are stable to further accretion of charge and exhibit a 10% larger
spin per unit charge than charge one skyrmions which would, in principle,
signal this pairing.Comment: 4 pages, 3 figures. Submitted to Phys. Rev. B, Rapid Communication
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